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Answer :
To find the force needed to accelerate a ball, we can use the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object, and
- [tex]\( a \)[/tex] is the acceleration.
Here are the steps to solve the problem:
1. Convert the mass to kilograms: The mass of the ball is given as 140 grams. We need to convert this to kilograms because the standard unit of mass in physics is kilograms. To convert grams to kilograms, divide by 1000:
[tex]\[ m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg} \][/tex]
2. Use the given acceleration: The acceleration is given as 25 meters per second squared (m/s²).
3. Calculate the force: Use the formula [tex]\( F = ma \)[/tex], where [tex]\( m \)[/tex] is 0.14 kg and [tex]\( a \)[/tex] is 25 m/s²:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 = 3.5 \, \text{N} \][/tex]
So, the force needed to accelerate the ball is 3.5 Newtons.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object, and
- [tex]\( a \)[/tex] is the acceleration.
Here are the steps to solve the problem:
1. Convert the mass to kilograms: The mass of the ball is given as 140 grams. We need to convert this to kilograms because the standard unit of mass in physics is kilograms. To convert grams to kilograms, divide by 1000:
[tex]\[ m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg} \][/tex]
2. Use the given acceleration: The acceleration is given as 25 meters per second squared (m/s²).
3. Calculate the force: Use the formula [tex]\( F = ma \)[/tex], where [tex]\( m \)[/tex] is 0.14 kg and [tex]\( a \)[/tex] is 25 m/s²:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 = 3.5 \, \text{N} \][/tex]
So, the force needed to accelerate the ball is 3.5 Newtons.
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